Q9 of 90 Page 2

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively:

Given: Sum of zeroes


Product of zeroes = αβ = – 1


Then, the quadratic polynomial


= x2 – (sum of zeroes)x + product of zeroes


=


=


=


We can consider 3x2 – 10x – 3 as required quadratic polynomial because it will also satisfy the given conditions.


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